Home / 1,602.16-2,403.84-1,054.20

Finding the Fourth Proportional to 1,602.16, 2,403.84 and 1,054.20

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Solution

The fourth proportional to 1,602.16, 2,403.84 and 1,054.20 is: 1,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.16 : 2,403.84 = 1,054.20 : x
  2. Step 2: Convert to fraction form
    1,602.16/2,403.84 = 1,054.20/x
  3. Step 3: Cross multiply
    1,602.16x = 2,403.84 × 1,054.20
  4. Step 4: Simplify right side
    1,602.16x = 2,534,128.13
  5. Step 5: Solve for x
    x = 2,534,128.13/1,602.16
  6. Step 6: Final answer
    x = 1,581.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.